Gelfand–Shilov and Gevrey smoothing effect for the spatially inhomogeneous non-cutoff Kac equation

Nicolas Lerner (1) , Yoshinori Morimoto (2) , Karel Pravda-Starov (3) , Chao-Jiang Xu (4)

1 IMJ - Institut de Mathématiques de Jussieu
2 Graduate School of Human and Environmental Studies
3 IRMAR - Institut de Recherche Mathématique de Rennes
4 North China Electric Power University

Mots clés: Kac equation; Gevrey regularity; Gelfand–Shilov regularity; Hypoellipticity

Domaines: Equations aux dérivées partielles [math.AP]

Nicolas Lerner, Yoshinori Morimoto, Karel Pravda-Starov, Chao-Jiang Xu. Gelfand–Shilov and Gevrey smoothing effect for the spatially inhomogeneous non-cutoff Kac equation. Journal of Functional Analysis, 2015, 269 (2), pp.459-535. ⟨10.1016/j.jfa.2015.04.017⟩. ⟨hal-01176315⟩